Question

In a parallel plate capacitor with air between the plates, each plate has an area of 6 × 10⁻³ m² and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

Answer 1

Area of each plate of the parallel plate capacitor, A = 6 × 10⁻³ m²

Distance between the plates, d = 3 mm = 3 × 10⁻³ m

Supply voltage, V = 100 V

Capacitance C of a parallel plate capacitor is given by,

Where,

= Permittivity of free space

= 8.854 × 10⁻¹² N⁻¹ m⁻² C⁻²

Therefore, capacitance of the capacitor is 17.71 pF and charge on each plate is 1.771 × 10⁻⁹ C.